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A singular solution with smooth initial data for a semilinear parabolic equation

✍ Scribed by Shota Sato


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
252 KB
Volume
74
Category
Article
ISSN
0362-546X

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Convergence rate for a semilinear parabo
✍ Masaki Hoshino πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 943 KB

We study the behavior of solutions of the Cauchy problem for a semilinear parabolic equation with a singular power nonlinearity. It is known for a supercritical heat equation that if two solutions are initially close enough near the spatial infinity, then these solutions approach each other. In fact